A Morphing framework to couple non-local and local anisotropic continua
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Mechanical Engineering Program
Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
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AbstractIn this article, we develop a method to couple anisotropic local continua with anisotropic non-local continua with central long-range forces. First, we describe anisotropic non-local models based on spherical harmonic descriptions. We then derive compatible classic continuum models. Finally, we apply the morphing method to these anisotropic non-local models and present three-dimensional numerical examples to validate the efficiency of the technique. © 2013 Elsevier Ltd. All rights reserved.